Supersingular Isogeny Graphs and Endomorphism Rings: Reductions and Solutions

EUROCRYPT, pp. 329-368, 2018.

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Abstract:

In this paper, we study several related computational problems for supersingular elliptic curves, their isogeny graphs, and their endomorphism rings. We prove reductions between the problem of path finding in the (ell )-isogeny graph, computing maximal orders isomorphic to the endomorphism ring of a supersingular elliptic curve, and compu...More

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